Determine If the Series Converges or Diverges $$\sum _ { n = 1 } ^ { \infty } \frac { 8 } { n ( n + 1 ) ( n + 2 ) }$$

question 195

Multiple Choice

Determine if the series converges or diverges. If the series converges, find its sum.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 8 } { n ( n + 1 ) ( n + 2 ) }$$

• A) converges; 6
• B) converges; \(\frac { 16 } { 3 }\)
• C) diverges
• D) converges; 2

Understand the characteristics and evolutionary significance of the common ancestor of deuterostomes.

Know the distinguishing traits and functional anatomy of early deuterostomes.

Recognize functional similarities and evolutionary connections between structures in different species.

Comprehend the environmental dependencies of amphibian life cycles and adaptations to avoid aquatic stages.

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Definitions:

Price Elasticity

A measure reflecting how demand for a particular good shifts with adjustments in its pricing.

Demand Curve

A graph showing the relationship between the price of a good and the quantity demanded by consumers at those prices, typically downward sloping.

Total Revenue

The total income a firm receives from the sale of its products, calculated by multiplying price by quantity sold.

Price Falls

A situation where the market price of a good or service decreases due to factors such as increased supply or decreased demand.